1082684416 has 88 divisors (see below), whose sum is σ = 2376419616. Its totient is φ = 488939520.

The previous prime is 1082684413. The next prime is 1082684461. The reversal of 1082684416 is 6144862801.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×1082684416² = 2344411089298522112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082684411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3119955 + ... + 3120301.

Almost surely, 2^1082684416 is an apocalyptic number.

1082684416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188209808).

1082684416 is an abundant number, since it is smaller than the sum of its proper divisors (1293735200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1082684416 is a wasteful number, since it uses less digits than its factorization.

1082684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 1082684416 is about 32904.1701916338. The cubic root of 1082684416 is about 1026.8349177974.

The spelling of 1082684416 in words is "one billion, eighty-two million, six hundred eighty-four thousand, four hundred sixteen".